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Finding the Fourth Proportional to 2,385.65, 3,577.69 and 825.26

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Solution

The fourth proportional to 2,385.65, 3,577.69 and 825.26 is: 1,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.65 : 3,577.69 = 825.26 : x
  2. Step 2: Convert to fraction form
    2,385.65/3,577.69 = 825.26/x
  3. Step 3: Cross multiply
    2,385.65x = 3,577.69 × 825.26
  4. Step 4: Simplify right side
    2,385.65x = 2,952,540.10
  5. Step 5: Solve for x
    x = 2,952,540.10/2,385.65
  6. Step 6: Final answer
    x = 1,237.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.